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12199096 = 2371321289
BaseRepresentation
bin101110100010…
…010010111000
3211221210000101
4232202102320
511110332341
61113245144
7205455610
oct56422270
924853011
1012199096
1169823a8
1241037b4
1326b1800
141897a40
15110e831
hexba24b8

12199096 has 48 divisors (see below), whose sum is σ = 28328400. Its totient is φ = 4822272.

The previous prime is 12199093. The next prime is 12199097. The reversal of 12199096 is 69099121.

It is a super-3 number, since 3×121990963 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12199093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8820 + ... + 10108.

It is an arithmetic number, because the mean of its divisors is an integer number (590175).

Almost surely, 212199096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12199096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14164200).

12199096 is an abundant number, since it is smaller than the sum of its proper divisors (16129304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12199096 is a wasteful number, since it uses less digits than its factorization.

12199096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 37.

The square root of 12199096 is about 3492.7204296937. The cubic root of 12199096 is about 230.2020656502.

The spelling of 12199096 in words is "twelve million, one hundred ninety-nine thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1289 1352 2366 2578 4732 5156 9023 9464 10312 16757 18046 33514 36092 67028 72184 117299 134056 217841 234598 435682 469196 871364 938392 1524887 1742728 3049774 6099548 12199096